In the above figure magnetic field at point $C$ will be
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$\overrightarrow{\mathrm{B}}_{\mathrm{c}}=\frac{\mu_{0} \mathrm{I}}{4 \pi r} \hat{\mathrm{k}}+\frac{\mu_{0} \mathrm{I}}{4 \mathrm{R}} \hat{\mathrm{k}}-\frac{\mu_{0} \mathrm{I}}{4 \pi \mathrm{R}} \hat{i}$
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